I wonder how could a straight line manage to avoid rational coordinates and pass only through irrational ones?

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Thomas Cuff

Hello Shahid,

You specify that only the slope, m, is an irrational number. If I allow the y-intercept, b, to be a rational number, then the straight line can pass through the point (0,b) where both numbers are rational.

Regards,

Tom Cuff

Shahid Nawaz

Yes, this is the only point.

Does this means that rational coordinates are arranged like a periodic array, and the line can make its way passing through only one point?